Magyar units should be:
Cavalry.
Magyer Tribesmen (rather like the Scythian nobles) and Kabars (exactly the same as Khazar horse archers)
to
Arpad Aristocracy(stronger and more decorative version of Magyer) and Székely (Rugged Hunnic peoples, semi-civilised looking, amazing firepower greater than the longbow) and Avars (Mailed horse archers, almost as powerful as the Székely )
to
Now nearly a century after the battle of Letchfield some Latin author described mailed cavalry carrying a lance and a bow called "Hungarus" which quite simply means in english Hungarian. I'll try to find a better name but these guys are Christianised Magyars prodominently.
There would also be Transylvanian Knights (these are the christianised Székely) these guys are nutters, I have read stories about these guys causing Turks to flee the field just by beeing there. They will have Scail/mail armour, very very high morale and high attack but they were only ever banded into small groups, say maybe only 40-50 men per unit, they should have reddish armour and facings.
Then there would be also be knights from the city of Bhuda, a very westernised city, so they would be rather like Frankish knights.

Thats all I have time for hope its helpfull.